Scattering of relativistic spinless particles within the Feshbach-Villars formalism
Y. Chargui,
A. Dhahbi,
A.R. Karam
Affiliations
Y. Chargui
Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah 52571, Saudi Arabia; Nuclear Physics and High Energy Research Unit, Faculty of Sciences of Tunis, Tunis El Manar University, Tunis, Tunisia
A. Dhahbi
Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah 52571, Saudi Arabia; Nuclear Physics and High Energy Research Unit, Faculty of Sciences of Tunis, Tunis El Manar University, Tunis, Tunisia; Department of Physics, Faculty of Science, University of Khartoum, Sudan; Corresponding author at: Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah 52571, Saudi Arabia.
A.R. Karam
Department of Physics, Faculty of Science, University of Khartoum, Sudan
We consider the relativistic quantum scattering of spinless particles in one-spatial dimension using the Feshbach-Villars formalism. We construct the general form of the scattering matrix, for symmetric and non-symmetric potentials, based on the symmetry properties of the Feshbach-Villars equation. Then, since in one dimension there are only two partial waves associated with even and odd parities, we show, in a simple and comprehensive way, how to describe this transmission-reflection problem using partial-wave decomposition. As an illustration, we also discuss the special case of scattering by a symmetric square-well potential.
